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An observation on realcompact spaces

Author(s): Z. Ercan
Journal: Proc. Amer. Math. Soc. 134 (2006), 917-920.
MSC (2000): Primary 54D60
Posted: July 19, 2005
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Abstract: We give a characterization of realcompact spaces in terms of nets. By using the technique of this characterization we give easy proofs of the Tychonoff Theorem and the Alaoglu Theorem.

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Additional Information:

Z. Ercan
Affiliation: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Email: zercan@metu.edu.tr

DOI: 10.1090/S0002-9939-05-08012-3
PII: S 0002-9939(05)08012-3
Received by editor(s): September 17, 2004
Received by editor(s) in revised form: October 13, 2004
Posted: July 19, 2005
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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